Abstract
Abstract Multiscale hierarchical percolation and failure models are introduced, and a wide class of discrete hierarchical models and their asymptotical properties are studied. This asymptotical analysis is carried out by the help of the ideas of scaling. The necessary and sufficient conditions for failure and percolation are discovered. For continuous spherical hierarchical percolation models the classical percolation theory is developed. It is shown that by increasing the number of scales and the scale step the critical volume concentration can be made to approach unity.
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